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Finding the Fourth Proportional to 57,984.14, 86,986.59 and 29,896.65

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Solution

The fourth proportional to 57,984.14, 86,986.59 and 29,896.65 is: 44,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984.14 : 86,986.59 = 29,896.65 : x
  2. Step 2: Convert to fraction form
    57,984.14/86,986.59 = 29,896.65/x
  3. Step 3: Cross multiply
    57,984.14x = 86,986.59 × 29,896.65
  4. Step 4: Simplify right side
    57,984.14x = 2,600,607,635.92
  5. Step 5: Solve for x
    x = 2,600,607,635.92/57,984.14
  6. Step 6: Final answer
    x = 44,850.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.